为分析拱形-线形非线性磁力耦合压电俘能器振动特性，利用磁化电流法建立了磁力模型，实验测量并通过数据拟合方法获取了拱形-线形结构非线性恢复力模型，利用广义Hamilton变分原理建立系统的动力学方程。采用谐波平衡法对动力学方程进行了求解，揭示了不同激励条件、不同磁距对俘能器振动特性的影响关系并开展实验研究。结果表明：拱形-线形压电俘能器大幅响应带宽、响应幅值随激励强度的增大而增大；减小磁距会增加系统大幅响应带宽，但幅值有所降低。相对于直梁式结构俘能器，拱形-线形结构可以提高俘能器输出电压，提升俘能性能。研究为拱形-线形压电俘能器设计提供了理论指导，为改善俘能器性能提供了新的思路。
Abstract
In order to analyze vibration characteristics of an arc-thready nonlinear magnetic coupled piezoelectric energy harvester, the magnetic force model was established by using the magnetizing current method, the energy harvester’s nonlinear recovering force model was obtained using the test data fitting method, and the system’s dynamic equations were established using the generalized Hamilton variation principle.The harmonic balance method was used to solve the system’s dynamic equations, and reveal effects of excitation conditions and magnetic distance on the harvester’s vibration characteristics.The correctness of the theoretical analysis was verified with tests.The results showed that the large-amplitude response bandwidth and response amplitude of the energy harvester increase with increase in excitation intensity; decrease in magnetic distance can increase large-amplitude response bandwidth, and decrease response amplitude; compared with the energy harvester with a straight beam structure, the harvester with arch-thready structure can increase its output voltage and improve its energy-capturing performance; the study provides a theoretical guidance for designing arch-thready piezoelectric energy harvester, and a new idea for improving its performance.
关键词
拱形-线形梁 /
压电 /
非线性 /
建模 /
特性
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Key words
arc-thready beam /
piezoelectric /
nonlinear /
modeling /
characteristic
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